O Find AB if the perimeter of AABC is 36.4 and BC = 14.6. %3D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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160 CHAPTER 3 I TRIANGLES
29. In isosceles AABC with vertex A (not shown), each base
angle is 12° larger than the vertex angle. Find the measure of
each angle.
38. Given:
Prove:
30. In isosceles AABC (not shown), vertex angle A is 5° more
than one-half of base angle B. Find the size of each angle of
the triangle.
utan
Stat
noon
1. ?
2. L2 = L
In Exercises 31 to 34, suppose that BC is the base of isosceles
AABC (not shown).
3. L2 and Z
supplemen
L7 are sup
31. Find the perimeter of AABC if AB = 8 and BC =
10.
d o slgnsm
32. Find AB if the perimeter of AABC is 36.4 and BC = 14.6.
4. ?
36
33. Find x if the perimeter of AABC is 40, AB = x, and
ВС — х + 4.
34. Find x if the perimeter of AABC is 68, AB = x, and
ВС — 1.4х.
eed od to
35. Suppose that AABC = ADEF. Also, AX bisects LCAB
and DY bisects ZFDE. Are these corresponding angle
bisectors of congruent triangles congruent?
In Exercises 39
80ob 1uom terdw nol 19o1 001 zi she
39. Given:
Prove:
(HINT: Firs
ARUS =
baid
bre
40. Given:
B.
Exercises 35, 36
not
36. Suppose that AABC = ADEF, AX is the median
from A to BC, and DY is the median from D to EF.
Are these corresponding medians of congruent triangles
congruent?
Prove:
41. )Given:
Is-
In Exercises 37 and 38, complete each proof using the
drawing below.
wi
Isc
wi
37. Given:
23 = L1
Prove:
Preve:
AR = AC
Transcribed Image Text:160 CHAPTER 3 I TRIANGLES 29. In isosceles AABC with vertex A (not shown), each base angle is 12° larger than the vertex angle. Find the measure of each angle. 38. Given: Prove: 30. In isosceles AABC (not shown), vertex angle A is 5° more than one-half of base angle B. Find the size of each angle of the triangle. utan Stat noon 1. ? 2. L2 = L In Exercises 31 to 34, suppose that BC is the base of isosceles AABC (not shown). 3. L2 and Z supplemen L7 are sup 31. Find the perimeter of AABC if AB = 8 and BC = 10. d o slgnsm 32. Find AB if the perimeter of AABC is 36.4 and BC = 14.6. 4. ? 36 33. Find x if the perimeter of AABC is 40, AB = x, and ВС — х + 4. 34. Find x if the perimeter of AABC is 68, AB = x, and ВС — 1.4х. eed od to 35. Suppose that AABC = ADEF. Also, AX bisects LCAB and DY bisects ZFDE. Are these corresponding angle bisectors of congruent triangles congruent? In Exercises 39 80ob 1uom terdw nol 19o1 001 zi she 39. Given: Prove: (HINT: Firs ARUS = baid bre 40. Given: B. Exercises 35, 36 not 36. Suppose that AABC = ADEF, AX is the median from A to BC, and DY is the median from D to EF. Are these corresponding medians of congruent triangles congruent? Prove: 41. )Given: Is- In Exercises 37 and 38, complete each proof using the drawing below. wi Isc wi 37. Given: 23 = L1 Prove: Preve: AR = AC
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